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Yangian symmetry for the tree amplituhedron

Livia Ferro
(
- Munich U., ASC
)
,
Tomasz Łukowski
(
- Oxford U., Inst. Math.
)
,
Andrea Orta
(
- Munich U., ASC
)
,
Matteo Parisi
(
- Queen Mary, U. of London
)

Dec 13, 2016

20 pages

Published in:

J.Phys.A 50 (2017) 29, 294005

Published: Jun 29, 2017

e-Print:

1612.04378 [hep-th]

DOI:

10.1088/1751-8121/aa7594

Report number:

LMU-ASC-63-16,
QMUL-PH-16-21

View in:

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Abstract: (IOP)

Tree-level scattering amplitudes in planar

\mathcal{N}=4

super Yang–Mills are known to be Yangian-invariant. It has been shown that integrability allows obtaining a general, explicit method to find such invariants. The uplifting of this result to the amplituhedron construction has been an important open problem. In this paper, with the help of methods proper to integrable theories, we successfully fill this gap and clarify the meaning of Yangian invariance for the tree-level amplituhedron. In particular, we construct amplituhedron volume forms from an underlying spin chain. As a by-product of this construction, we also propose a new on-shell diagrammatics for the amplituhedron.

Note:

17 pages, 4 figures; v2: extended discussion of results, minor typos corrected, version published in Journal of Physics A

scattering amplitudes
integrable field theories
supersymmetric gauge theory
supersymmetry: 4
invariance: Yangian
symmetry: Yangian
spin: chain
tree approximation
integrability
scattering amplitude

References(27)

Figures(0)

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